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Simplifying 4(3n + -4) = (6n + 8) + 7 Reorder the terms: 4(-4 + 3n) = (6n + 8) + 7 (-4 * 4 + 3n * 4) = (6n + 8) + 7 (-16 + 12n) = (6n + 8) + 7 Reorder the terms: -16 + 12n = (8 + 6n) + 7 Remove parenthesis around (8 + 6n) -16 + 12n = 8 + 6n + 7 Reorder the terms: -16 + 12n = 8 + 7 + 6n Combine like terms: 8 + 7 = 15 -16 + 12n = 15 + 6n Solving -16 + 12n = 15 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -16 + 12n + -6n = 15 + 6n + -6n Combine like terms: 12n + -6n = 6n -16 + 6n = 15 + 6n + -6n Combine like terms: 6n + -6n = 0 -16 + 6n = 15 + 0 -16 + 6n = 15 Add '16' to each side of the equation. -16 + 16 + 6n = 15 + 16 Combine like terms: -16 + 16 = 0 0 + 6n = 15 + 16 6n = 15 + 16 Combine like terms: 15 + 16 = 31 6n = 31 Divide each side by '6'. n = 5.166666667 Simplifying n = 5.166666667
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